There are 5 black and 6 red balls. So,
The number of ways of selecting 2 black balls from 5 black balls is \(^5C_2,\) and number of ways of selecting 3 red balls from 6 red balls is \(^6C_3.\)
Thus using the multiplication principle, the total number of ways will be
Thus, the total number of ways in which 2 black and 3 red balls can be selected is 200.